Daily Practice · Higher

Daily Practice - Higher

Grades 6-7 - Higher-tier method and manipulation.

3rd December 2015

5 questions · 15 marks · Grades 6-7 · 61 question types in this band

1
The Product Rule for Counting3 marks
A code is 2 letters (A to Z) followed by 4 digits (0 to 9), and repeats are allowed. How many codes are possible?
2
Quadratic Formula3 marks
Use the quadratic formula to solve 4x^2 - 12x + 8 = 0, to 2 decimal places.
3
Repeated Percentage Change3 marks
A town's population is 19000 and grows by 3% each year. Work out the population after 2 years, to the nearest whole number.
4
Similar Shapes (Area and Volume)3 marks
Two similar shapes have lengths in the ratio 1 : 3. The smaller has an area of 23 cm^2. Work out the area of the larger.
5
Conditional Probability3 marks
27 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.

You are looking at an earlier sheet. Today's sheet is the one that adds a day.

Your run is kept in this browser only, and there is no account.

Every sheet is deterministic: the same date always regenerates the same five questions. All of December 2015, including the monthly compilation PDF.